Fractal filtering using short-time fractal dimension as the parametric function was put forward, by which Weirestrass function was fractal filtered. The result was showed that fractal filtering was good in both reducing noise and maintaining time-domain signal.
提出了采用短时分形维数为参量函数的分形滤波方法,对Weierstrass函数进行了分形滤波,结果表明分形滤波具有降噪和保持时域信号的双重优点。
参考来源 - 分形在齿轮箱故障诊断中的应用·2,447,543篇论文数据，部分数据来源于NoteExpress
本文将分形理论引入多径衰落信道的描述，提出了一种利用分形滤波进行最小均方误差意义下信道参数估计的方法。
The fractal theory was applied to describe multipath fading channels, and a novel channel estimation scheme using fractal filter in the sense of minimum mean square error (MMSE) was presented.
分析了一阶分形模糊控制滤波器的频率-幅度特性，白噪声和有色噪声分形盒维数的变化；
The frequency-magnitude response of the fractal filter and the change of fractal box dimension of white noise and color noise are analyzed.
针对复杂背景及目标的分形特性差异，提取图像四个方向的灰度梯度，选择最小梯度大于阈值的区域进行平滑滤波，最后对分维参数进行分段线性拉伸。
Aiming at characteristic differences of background and target, four-direction gradient is extracted out and areas with large gradient are smoothed by a linear threshold filter.
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